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2 answers:
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Answer:
y < 0.25x + 4
Step-by-step explanation:
The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.
We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.
Solving for the line:
Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using results in
or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.
Now all we do is replace the = with the < and we have our answer:
y < 0.25x + 4